8x+3=-3x+3+11xs

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Solution for 8x+3=-3x+3+11xs equation:


Simplifying
8x + 3 = -3x + 3 + 11xs

Reorder the terms:
3 + 8x = -3x + 3 + 11xs

Reorder the terms:
3 + 8x = 3 + 11sx + -3x

Add '-3' to each side of the equation.
3 + -3 + 8x = 3 + 11sx + -3 + -3x

Combine like terms: 3 + -3 = 0
0 + 8x = 3 + 11sx + -3 + -3x
8x = 3 + 11sx + -3 + -3x

Reorder the terms:
8x = 3 + -3 + 11sx + -3x

Combine like terms: 3 + -3 = 0
8x = 0 + 11sx + -3x
8x = 11sx + -3x

Solving
8x = 11sx + -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-11sx' to each side of the equation.
-11sx + 8x = 11sx + -11sx + -3x

Combine like terms: 11sx + -11sx = 0
-11sx + 8x = 0 + -3x
-11sx + 8x = -3x

Add '3x' to each side of the equation.
-11sx + 8x + 3x = -3x + 3x

Combine like terms: 8x + 3x = 11x
-11sx + 11x = -3x + 3x

Combine like terms: -3x + 3x = 0
-11sx + 11x = 0

Factor out the Greatest Common Factor (GCF), '11x'.
11x(-1s + 1) = 0

Ignore the factor 11.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-1s + 1)' equal to zero and attempt to solve: Simplifying -1s + 1 = 0 Reorder the terms: 1 + -1s = 0 Solving 1 + -1s = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1s = 0 + -1 -1s = 0 + -1 Combine like terms: 0 + -1 = -1 -1s = -1 Add 's' to each side of the equation. -1s + s = -1 + s Combine like terms: -1s + s = 0 0 = -1 + s Simplifying 0 = -1 + s The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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